Answer

y=$x^{2}$+$\frac{2}{19}$

Work Step by Step

From the ordered pairs , we could determine the relationship of the y-coordinate and x-coordinate by divide them in order:
(0,$\frac{2}{19})$ 0=$0^{2}$+$\frac{2}{19}$
(1, 1$\frac{2}{19}$)1$\frac{2}{19}$=$1^{2}$+$\frac{2}{19}$
(2，4$\frac{2}{19}$）4$\frac{2}{19}$=$2^{2}$+$\frac{2}{19}$
（3，9$\frac{2}{19}$)9$\frac{2}{19}$=$3^{2}$+$\frac{2}{19}$
.......
as an result , we could determine the rule of the function :
y=$x^{2}$+$\frac{2}{19}$